Atrisiniet y=3xnx

$$y = 3 x n x$$

Atrast n (complex solution)

$$\left\{\begin{matrix}n=\frac{y}{3x^{2}}\text{, }&x\neq 0\\n\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right,$$

Lineāra vienādojuma risināšanas darbības

Reiziniet x un x, lai iegūtu x^{2}.

$$y=3x^{2}n$$

Mainiet puses tā, lai visi mainīgie locekļi atrastos pa kreisi.

$$3x^{2}n=y$$

Daliet abas puses ar 3x^{2}.

$$\frac{3x^{2}n}{3x^{2}}=\frac{y}{3x^{2}}$$

Dalīšana ar 3x^{2} atsauc reizināšanu ar 3x^{2}.

$$n=\frac{y}{3x^{2}}$$

Atrast n

$$\left\{\begin{matrix}n=\frac{y}{3x^{2}}\text{, }&x\neq 0\\n\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right,$$

Lineāra vienādojuma risināšanas darbības

Reiziniet x un x, lai iegūtu x^{2}.

$$y=3x^{2}n$$

Mainiet puses tā, lai visi mainīgie locekļi atrastos pa kreisi.

$$3x^{2}n=y$$

Daliet abas puses ar 3x^{2}.

$$\frac{3x^{2}n}{3x^{2}}=\frac{y}{3x^{2}}$$

Dalīšana ar 3x^{2} atsauc reizināšanu ar 3x^{2}.

$$n=\frac{y}{3x^{2}}$$

Atrast x (complex solution)

$$\left\{\begin{matrix}x=-\frac{n^{-\frac{1}{2}}\sqrt{3y}}{3}\text{; }x=\frac{n^{-\frac{1}{2}}\sqrt{3y}}{3}\text{, }&n\neq 0\\x\in \mathrm{C}\text{, }&y=0\text{ and }n=0\end{matrix}\right,$$

Atrast x

$$\left\{\begin{matrix}x=\frac{\sqrt{\frac{3y}{n}}}{3}\text{; }x=-\frac{\sqrt{\frac{3y}{n}}}{3}\text{, }&\left(y\geq 0\text{ and }n>0\right)\text{ or }\left(y\leq 0\text{ and }n<0\right)\\x\in \mathrm{R}\text{, }&y=0\text{ and }n=0\end{matrix}\right,$$